The generator matrix

 1  0  0  1  1  1  X  1  1  X  1  1  0 X+2  2  X  1  1  2  1  1  X  0  1  1  1  X  1  1  X  1  1 X+2  X  2  1  0  1 X+2  1  1  1  1  1  1  1  1  1  1 X+2  1  1  0 X+2  1  X  X  1  0  2 X+2  1  1  1  X  1  1 X+2  1
 0  1  0  0  1 X+3  1 X+1  1 X+2  2  0  1  1  X  1 X+1  X  1  X  1  1  1 X+3 X+1  X  0  1  X X+2  1  2  1  1  X X+3  1  1  1 X+2  3  0  0  1  X  2 X+1 X+1 X+3  1  1 X+3  1  X  3  1  1 X+2  1  1  1  0 X+1  X  2 X+2 X+3  1  0
 0  0  1 X+1 X+3 X+2  1  2  1  1  X  3 X+2 X+3  1  X X+3  1  1  X  X  2 X+1  3 X+2 X+2  1  3 X+3  1 X+2  X X+3  X  1  2 X+2 X+3  2  0  0  3  3 X+2 X+1  X  0  X X+1 X+3 X+1  1 X+2  1  3  1 X+2 X+3  0  0 X+2  1  3  0  1  2 X+1  0  0
 0  0  0  2  0  0  2  0  0  0  2  0  0  2  2  2  2  2  0  2  2  2  2  2  2  0  2  2  0  0  2  2  0  0  2  0  2  0  2  0  2  2  0  0  0  2  0  0  2  2  0  0  0  0  0  0  0  2  0  2  0  0  2  2  0  2  0  0  0
 0  0  0  0  2  0  0  0  2  0  2  2  0  0  2  2  0  0  2  0  0  0  2  2  2  2  2  2  0  2  0  2  2  2  0  2  0  0  2  0  2  2  2  0  0  0  2  2  2  0  2  0  2  2  0  0  0  2  0  0  0  0  0  2  2  2  0  2  0
 0  0  0  0  0  2  2  0  2  2  2  2  2  0  0  2  2  2  0  0  2  0  2  0  0  2  2  2  0  0  0  0  2  0  0  0  2  2  0  2  2  0  0  0  2  2  2  0  2  2  2  0  2  2  0  2  0  2  2  0  2  0  2  2  2  0  0  2  0

generates a code of length 69 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+35x^62+212x^63+266x^64+402x^65+359x^66+424x^67+288x^68+446x^69+325x^70+306x^71+217x^72+212x^73+126x^74+166x^75+115x^76+78x^77+45x^78+36x^79+8x^80+14x^81+3x^82+6x^83+1x^84+3x^86+2x^87

The gray image is a code over GF(2) with n=276, k=12 and d=124.
This code was found by Heurico 1.16 in 0.878 seconds.